Abstract: Based on Timoshenko-Mindlin hypotheses and Hamilton’s principle,a systemof equations of nonlinear vibration is set up for laminated circular cylindrical thick shellswith parametric excitation。Using a multi-mode approach and the incremebltal harmonicbalance method, a solution for nonlinear dynamic stability of these shells is obtained.Theeffects of the transverse shear deformation,support conditions etc。on the dynamic stabilityof these shells are discussed。